The Fourier transform of a signal ๐‘ฅ(๐‘ก), denoted by ๐‘‹(๐‘—w), is shown in the figure

Q. The Fourier transform of a signal ๐‘ฅ(๐‘ก), denoted by ๐‘‹(๐‘—w), is shown in the figure.

Let ๐‘ฆ(๐‘ก) = ๐‘ฅ(๐‘ก) + ๐‘’๐‘—๐‘ก๐‘ฅ(๐‘ก). The value of Fourier transform of ๐‘ฆ(๐‘ก) evaluated at the angular frequency w= 0.5 rad/s is

(A) 0.5                        (B) 1                           (C) 1.5                       (D) 2.5

Ans: 1.5

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